A ∩ B = {3, 6, 9, 12} ∩ {2, 4, 6, 8, 10, 12}
= {6, 12}
8*4=32
7*4=28
340÷32=10.625
350÷28=12.5
12.5-10.625= 1.875
Multiply numerators:
-4*-5=20
Multiply denominators:
9*8=72
20/72= 10/36
10/36= 5/18
Final answer: 5/18
Answer:
Step-by-step explanation:
Law of Sines recall Sin(A) /a = Sin(B) /b
does the above make sense?
Next we need to find the angle of A
notice that 16+75=91 :o
so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180) so this is NOT a right triangle but that's okay, b/c law of sines still works fine.
then we want to find length of line AB
and if 89 = A then a = BC
and if 75 = B the b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and lower case b much easier than you can with C, & c :/ )
capitals are the angles while lower case are the length of the sides
then
Sin(89) / 29 = Sin(75) / b
solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .
0.034477 = 0.965925/ b
b = 0.965925 / 0.034477
b = 28.0165
b = 28.0 ( to the nearest 10th)
we have the parts to plug in now
Sin(75) /
